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Flow-based generative models are an important class of exact inference models that admit efficient inference and sampling for image synthesis. Owing to the efficiency constraints on the design of the flow layers, e.g. split coupling flow…

Machine Learning · Computer Science 2020-04-09 Shweta Mahajan , Apratim Bhattacharyya , Mario Fritz , Bernt Schiele , Stefan Roth

Normalizing flows are generative models that provide tractable density estimation via an invertible transformation from a simple base distribution to a complex target distribution. However, this technique cannot directly model data…

Machine Learning · Statistics 2021-11-15 Brendan Leigh Ross , Jesse C. Cresswell

Full-waveform inversion (FWI) is a high-resolution seismic imaging method that estimates subsurface velocity by matching simulated and recorded waveforms. However, FWI is highly nonlinear, prone to cycle skipping, and sensitive to noise,…

Machine Learning · Computer Science 2026-03-17 Xinquan Huang , Paris Perdikaris

Computer models play a crucial role in numerous scientific and engineering domains. To ensure the accuracy of simulations, it is essential to properly calibrate the input parameters of these models through statistical inference. While…

Applications · Statistics 2024-03-07 Dongkyu Derek Cho , Won Chang , Jaewoo Park

We develop nested variational inference (NVI), a family of methods that learn proposals for nested importance samplers by minimizing an forward or reverse KL divergence at each level of nesting. NVI is applicable to many commonly-used…

Machine Learning · Statistics 2021-06-22 Heiko Zimmermann , Hao Wu , Babak Esmaeili , Jan-Willem van de Meent

The Normalizing Flow (NF) models a general probability density by estimating an invertible transformation applied on samples drawn from a known distribution. We introduce a new type of NF, called Deep Diffeomorphic Normalizing Flow (DDNF).…

Machine Learning · Statistics 2018-11-26 Hadi Salman , Payman Yadollahpour , Tom Fletcher , Kayhan Batmanghelich

Unsupervised anomaly detection is often framed around two widely studied paradigms. Deep one-class classification, exemplified by Deep SVDD, learns compact latent representations of normality, while density estimators realized by…

Machine Learning · Computer Science 2025-10-13 Faried Abu Zaid , Tim Katzke , Emmanuel Müller , Daniel Neider

An adaptive model for the description of flows in highly heterogeneous porous media is developed in~\cite{FP21,FP23}. There, depending on the magnitude of the fluid's velocity, the constitutive law linking velocity and pressure gradient is…

Numerical Analysis · Mathematics 2024-05-06 Alessio Fumagalli , Francesco S. Patacchini

Parameter-efficient adaptation of pretrained vision models is commonly performed through linear probes, prompts, low-rank updates, or lightweight residual modules. While effective, these methods usually treat adaptation as a discrete…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Salim Khazem , Ibrahim Mohamed Serouis , Zakaria Ezzahed

Neural posterior estimation methods based on discrete normalizing flows have become established tools for simulation-based inference (SBI), but scaling them to high-dimensional problems can be challenging. Building on recent advances in…

Machine Learning · Computer Science 2023-10-30 Maximilian Dax , Jonas Wildberger , Simon Buchholz , Stephen R. Green , Jakob H. Macke , Bernhard Schölkopf

The recently developed Particle-based Variational Inference (ParVI) methods drive the empirical distribution of a set of \emph{fixed-weight} particles towards a given target distribution $\pi$ by iteratively updating particles' positions.…

Machine Learning · Computer Science 2021-12-03 Chao Zhang , Zhijian Li , Hui Qian , Xin Du

This paper is concerned with the approximation of probability distributions known up to normalization constants, with a focus on Bayesian inference for large-scale inverse problems in scientific computing. In this context, key challenges…

Machine Learning · Computer Science 2025-06-10 Baojun Che , Yifan Chen , Zhenghao Huan , Daniel Zhengyu Huang , Weijie Wang

Normalizing flows are a promising tool for modeling probability distributions in physical systems. While state-of-the-art flows accurately approximate distributions and energies, applications in physics additionally require smooth energies…

Machine Learning · Statistics 2021-12-01 Jonas Köhler , Andreas Krämer , Frank Noé

Variational Bayes methods are popular due to their computational efficiency and adaptability to diverse applications. In specifying the variational family, mean-field classes are commonly used, which enables efficient algorithms such as…

Statistics Theory · Mathematics 2025-11-26 Shitao Fan , Ilsang Ohn , David Dunson , Lizhen Lin

Deep probabilistic time series forecasting models have become an integral part of machine learning. While several powerful generative models have been proposed, we provide evidence that their associated inference models are oftentimes too…

Machine Learning · Computer Science 2020-12-07 Chen Qiu , Stephan Mandt , Maja Rudolph

We introduce a new paradigm for generative modeling built on Continuous Normalizing Flows (CNFs), allowing us to train CNFs at unprecedented scale. Specifically, we present the notion of Flow Matching (FM), a simulation-free approach for…

Machine Learning · Computer Science 2023-02-09 Yaron Lipman , Ricky T. Q. Chen , Heli Ben-Hamu , Maximilian Nickel , Matt Le

The field of general-purpose robotics has recently embraced powerful probabilistic diffusion-based models to learn the complex embodiment behaviours. However, existing models often come with significant trade-offs, namely high computational…

Robotics · Computer Science 2026-02-26 Jialong Li , Simon Kristoffersson Lind , Wenrui Xie , Maj Stenmark , Volker Krüger

Flow and diffusion models achieve high-fidelity, high-resolution image synthesis, but often require many function evaluations (NFEs) at sampling time. Existing acceleration methods either require additional training through distillation or…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Anuska Roy , Pravin Nair

Approximating complex probability densities is a core problem in modern statistics. In this paper, we introduce the concept of Variational Inference (VI), a popular method in machine learning that uses optimization techniques to estimate…

Machine Learning · Computer Science 2021-11-23 Ankush Ganguly , Samuel W. F. Earp

This paper presents a groundbreaking approach to causal inference by integrating continuous normalizing flows (CNFs) with parametric submodels, enhancing their geometric sensitivity and improving upon traditional Targeted Maximum Likelihood…

Machine Learning · Computer Science 2024-02-02 Kaiwen Hou